• P1- ALMOST DITRIBUTICE LATTICES

G. C. Rao, Mihret Alamneh*, Naveen Kakumar

Abstract


In this paper, we define the concept of a P1-Almost Distributive Lattice (P1-ADL) as a generalization of P1-Lattice and we derive relations between a P0-ADL, Heyting ADL and an L-ADL. We define the concepts of a Stone ADL of order n and derive a necessary and sufficient condition for a Stone ADL of order n to become a P1-ADLof order n.

Keywords


Almost Distributive Lattice (ADL); Chain base; Dense element; Disjoint representation; Heyting ADL; L-ADL; Monotone representation; P0-ADL; P1-ADL and Stone ADL of order n.

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